Least Common Multiple of 114/48, 928/7126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/48, 928/7126 quickly i.e. 26448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/48, 928/7126 is 26448.

LCM(114/48, 928/7126) = 26448

LCM of 114/48, 928/7126

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 114/48,928/7126

Given numbers are 114/48,928/7126

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 114,928

Least Common Multiple of Numerators i.e. LCM of 114,928 is 52896.

GCF of Denominators means GCF of 48,7126 as per the given fractions.

GCF of 48,7126 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,928

LCM of Fractions 114/48,928/7126 is 26448

2 114, 928
57, 464

∴ So the LCM of the given numbers is 2 x 57 x 464 = 52896

Least Common Multiple of 114,928 with GCF Formula

Least Common Multiple of 114,928 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 114,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,928) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(114,928) x common factors =2 x 1 = 2

LCM(114,928) = ( 114 × 928 ) / 2

LCM(114,928) = 105792 / 2

LCM(114,928) = 52896


Lets's calculate GCF of 48,7126

2 48, 7126
24, 3563

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52896/2

Therefore the LCM of Fractions 114/48,928/7126 is 26448

Greatest Common Factor of 48,7126 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,7126 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 7126

List of positive integer factors of 7126 that divides 7126 without a remainder.

1,2,7,14,509,1018,3563,7126

Greatest Common Factor

We found the factors 48,7126 . The biggest common factor number is the GCF number.
So the greatest common factor 48,7126 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 114/48, 928/7126

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 114/48, 928/7126?

Answer: LCM of Numerators as per given numbers 114/48, 928/7126 is

LCM of Numerators i.e. for 114,928 is 52896

GCF of denominators i.e. for 48,7126 is 2.

Thus, LCM of Fractions is 26448.Finally, LCM of Fractions for 114/48, 928/7126 is 26448.